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Finding the Fourth Proportional to 2,072.97, 3,109.93 and 841.66

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Solution

The fourth proportional to 2,072.97, 3,109.93 and 841.66 is: 1,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.97 : 3,109.93 = 841.66 : x
  2. Step 2: Convert to fraction form
    2,072.97/3,109.93 = 841.66/x
  3. Step 3: Cross multiply
    2,072.97x = 3,109.93 × 841.66
  4. Step 4: Simplify right side
    2,072.97x = 2,617,493.80
  5. Step 5: Solve for x
    x = 2,617,493.80/2,072.97
  6. Step 6: Final answer
    x = 1,262.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.